by the information given it is only possible to work out one constrain and the profit equation...let large dogs be x and small dogs be y..as the kennel can only keep 15 dogs : x + y less than and equal to 15...to work out the co ordinates for x let y equal to zero there x will be (15;0) and to work out the y co ordinate let x equal zero there fore y will be (0;15)...plot these points and draw your line...not forgetting the two original constraints which are x greater that an equal to zero and y greater than and equal to zero...your profit equation will be p is equal to 35x + 15y...there after substitute all points in to profit equation and see which gives you maximum and mininum amounts.